Develop Your Own Newton | newton method algorithm
Solveforoptimumsolutions,equilibriumpoints,etc.usingtheNRmethodPhotobyDavidClodeonUnsplash[1][2]TheNewton-Raphsonmethodisaniterativemethodusedtoapproximatetherootsorzerosofafunction.Determiningrootscanbeimportantformanyreasons;theycanbeusedtooptimizefinancialproblems,tosolveforequilibriumpointsinphysics,tomodelcomputationalfluiddynamics,etc.Asyoucanseetheusesextendwellbeyondanyonesubject.Generally,incomplexequationstherootscannotbesolvedforexplicitly,sotheymustbeapproximated;that’swheretheNe...
Solve for optimum solutions, equilibrium points, etc. using the NR method
Photo by David Clode on Unsplash[1][2]The Newton-Raphson method is an iterative method used to approximate the roots or zeros of a function. Determining roots can be important for many reasons; they can be used to optimize financial problems, to solve for equilibrium points in physics, to model computational fluid dynamics, etc. As you can see the uses extend well beyond any one subject. Generally, in complex equations the roots cannot be solved for explicitly, so they must be approximated; that’s where the Newton-Raphson method comes into play.
The Newton-Raphson method (or algorithm) is one of the most popular methods for calculating roots due to its si...